document.write( "Question 252637: One pipe can fill a pool in 8 hours. The drain can empty it in 14 hours. With the pipe on and the drain open, how long will it take the pool to be filled? \n" ); document.write( "

Algebra.Com's Answer #184660 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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One pipe can fill a pool in 8 hours.
\n" ); document.write( "The drain can empty it in 14 hours.
\n" ); document.write( "With the pipe on and the drain open, how long will it take the pool to be filled?
\n" ); document.write( ":
\n" ); document.write( "Let t = time to fill the pool under these conditions
\n" ); document.write( "Let the completed job = 1 (a full pool)
\n" ); document.write( ":
\n" ); document.write( "minus means drain
\n" ); document.write( ":
\n" ); document.write( " $\"t%2F8\"$ - $\"t%2F14\"$ = 1
\n" ); document.write( "multiply equation by 56, results
\n" ); document.write( "7t - 4t = 56
\n" ); document.write( "3t = 56
\n" ); document.write( "t = $\"56%2F3\"$
\n" ); document.write( "t = 18 $\"2%2F3\"$ hrs, or 18 hrs 40 min
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution
\n" ); document.write( "18.67/8 - 18.67/14 =
\n" ); document.write( "2.33 - 1.33 = 1 \n" ); document.write( "

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